Introduction to...

If $${\rm{sin}}\,{\rm{\theta  + cosec\theta  = 2,}}\,{\rm{then}}\,\,{\rm{si}}{{\rm{n}}^{\rm{2}}}{\rm{\theta  + cose}}{{\rm{c}}^{\rm{2}}}{\rm{\theta }}\,$$ is equal to:

$$\sin x=\dfrac {\sqrt 3}{2}$$ find $$\sec x$$

Solve : $$\dfrac { 2tan{ 30 }^{ \circ  } }{ 1+{ tan }^{ 2 }{ 30 }^{ \circ  } } $$

If $$y=cos x$$ then $$x=\frac{\pi}{2}$$, $$y$$ is equal to:

$$\sin x=\dfrac 12\\\tan x=?$$

sin0$$^0$$ . sin1$$^0$$ ..................... sin90$$^0$$ = 

The value of $$\tan^{2}60^{o}$$ is:

Given
$$\displaystyle \frac{\sin A}{si{nB}}=\frac{\sqrt{3}}{2}, \displaystyle \frac{\cos A}{\cos B}=\frac{\sqrt{5}}{2},\ 0<\displaystyle A,B<\frac{\pi}{2}$$, then

The maximum value of
$$\cos x\,\left(\displaystyle \dfrac{\cos x}{1-\sin x}+\dfrac{1-\sin x}{\cos x}\right)$$ is 

If $$\text{cosec}\displaystyle A=4p+\frac{1}{16p}$$, then the value of $$\text{cosec}A+\cot A$$ is